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Finding the Fourth Proportional to 32,131.48, 48,204.27 and 9,641.20

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Solution

The fourth proportional to 32,131.48, 48,204.27 and 9,641.20 is: 14,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,131.48 : 48,204.27 = 9,641.20 : x
  2. Step 2: Convert to fraction form
    32,131.48/48,204.27 = 9,641.20/x
  3. Step 3: Cross multiply
    32,131.48x = 48,204.27 × 9,641.20
  4. Step 4: Simplify right side
    32,131.48x = 464,747,007.92
  5. Step 5: Solve for x
    x = 464,747,007.92/32,131.48
  6. Step 6: Final answer
    x = 14,463.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.